Isomorphic Strings

Question

Given two strings s and t, determine if they are isomorphic.

Two strings are isomorphic if the characters in s can be replaced to get t.

All occurrences of a character must be replaced with another character while preserving the order of characters. No two characters may map to the same character but a character may map to itself.

For example, Given "egg", "add", return true.

Given "foo", "bar", return false.

Given "paper", "title", return true.

Note: You may assume both s and t have the same length.

I have this solution but it is taking too much time. Any good solution will be appreciated

   public boolean isIsomorphic(String s, String t) {
        String resString1="",resString2="";
            HashMap<Character,Integer> hashmapS = new HashMap(); 
            HashMap<Character,Integer> hashmapT = new HashMap(); 
            boolean flag = false;
            for(int i = 0;i<s.length();i++)
            {
              char chS = s.charAt(i);
              char chT = t.charAt(i);
              if(hashmapS.containsKey(chS))
              {
                  resString1 = resString1 + hashmapS.get(chS);
              }
              else
              {
                  resString1 = resString1 + i; 
                  hashmapS.put(chS, i);
              }
              if(hashmapT.containsKey(chT))
              {
                  resString2 = resString2 + hashmapT.get(chT);
              }
              else
              {
                  resString2 = resString2 + i; 
                  hashmapT.put(chT, i);
              }
            }
           if(resString1.equals(resString2))
               return true;
           else
               return false;
    }

Answer 1

/* Time complexity = O(n)*/

public static boolean isIsomorphic (String s1 , String s2){

    if (s1 == null || s2 == null){
        throw new IllegalArgumentException();
    }

    if (s1.length() != s2.length()){
        return false;
    }

    HashMap<Character, Character> map = new HashMap<>();

    for (int i = 0 ; i < s1.length(); i++){

        if (!map.containsKey(s1.charAt(i))){

            if(map.containsValue(s2.charAt(i))){

                return false;
            }           

            else{
                map.put(s1.charAt(i), s2.charAt(i));
            }           
        }
        else{
            if( map.get(s1.charAt(i)) != s2.charAt(i)){
                return false;                   
            }               
        }           
    }

    return true;        
}